(06.08a lc) what is the approximate distance between points a and b?
a coordinate grid is shown with point a at (1,4) and point b at (-3,-2)

In this item, we are asked to determine or calculate for the distance between the points A (1,4) and B(-3,-2)

The distance between the two points can be computed through the equation below.
             d = sqrt ((x₂ - x₁)² + (y₂ - y₁)³)
We can choice whichever of the two points will have the first abscissa or the first ordinate. For the purpose of showing the solution here, it is assumed that A has the coordinates of (x₁,y₁) and B (x₂,y₂)

Substituting,
          d = sqrt ((-3 - 1)² + (-2 -4)²)
          d = 2√13 

ANSWER: 2√13 , ~7.21